Search a number
-
+
2137148256 = 25353420037
BaseRepresentation
bin111111101100010…
…0100101101100000
312111221102101021010
41333120210231200
513334102221011
6552022300520
7103650313635
oct17730445540
95457371233
102137148256
119a7401131
124b7887740
132809c6689
14163b9a18c
15c79541a6
hex7f624b60

2137148256 has 48 divisors (see below), whose sum is σ = 5715877104. Its totient is φ = 698939904.

The previous prime is 2137148239. The next prime is 2137148261. The reversal of 2137148256 is 6528417312.

2137148256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204931 + ... + 215106.

It is an arithmetic number, because the mean of its divisors is an integer number (119080773).

Almost surely, 22137148256 is an apocalyptic number.

It is an amenable number.

2137148256 is an abundant number, since it is smaller than the sum of its proper divisors (3578728848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2137148256 is a wasteful number, since it uses less digits than its factorization.

2137148256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420103 (or 420095 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2137148256 is about 46229.3008383211. The cubic root of 2137148256 is about 1288.0860698884.

The spelling of 2137148256 in words is "two billion, one hundred thirty-seven million, one hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 420037 840074 1260111 1680148 2520222 3360296 5040444 6720592 10080888 13441184 20161776 22261961 40323552 44523922 66785883 89047844 133571766 178095688 267143532 356191376 534287064 712382752 1068574128 2137148256